1)Construct a Venn diagram for the following syllogism on a separate page and answer the next three questions based on that diagram . Number the seven sections of the three-circle diagram.
No Republicans are Anarchists.
Some Anarchists are Believers in a stateless society
Therefore, some Believers in a stateless society are not Republicans
(Translate using the letters R, A and B)
Which two regions of the diagram are shaded in by premise 1, No R are A?
a)2 and 3
b)4 and 5
c)5 and 6
d)4 and 7
2)Premise 2, Some A are B, is plotted in the diagram by placing an “x” :
a)On the line between area 4 and area 5
b)In area 4
c)In area 7
d)In area 1
3)The syllogism in question 3 is:
a)Valid because there is an x in area 4
b)Valid because there is an x in area 1
c)Invalid because there is an x on the line between area 4 and 5
d)Invalid because there is an x in area 7
4)Construct a truth table for the following argument and answer the next three questions based on the completed truth table, you may use the short cut method. Use the letters T, C, H in your translation.
If we eat tamales, then our cholesterol increases. If our cholesterol increases, then our health will decline. We will not eat tamales. Therefore, our health will not decline.
The next three questions refer to the truth table constructed for this argument.
Which of the following is the correct translation of the argument?
a)C ⸧ T p1 H ⸧ C p2 ~T p3 ~H conc
b)T ⸧ C p1 T ⸧ H p2 ~H p3 ~T conc
c)T ⸧ C p1 C ⸧ H p2 ~T p3 ~H conc
d)C ⸧ T p1 H ⸧ C p2 ~H p3 ~T conc
5)On what two rows of the truth table is the conclusion false and premise three true?
a)5 and 7
b)1 and 3
c)2 and 4
d)6 and 8
6)The argument in question 6 is:
a)Invalid because the premises are true and the conclusion is false on row 5
b)Valid because the conclusion is true on row 1
c)Invalid because the premises are true and the conclusion false on row 1
d)Valid because no row has true premises and a false conclusion
7)What is the form of the following argument:
If believing something intently could make that belief come true, then there would be a lot more lottery winners. Since there are not a lot more lottery winners, it follows that believing something intently cannot make that belief come true.
8) What is the form of the following argument:
Either Bernie wins the primary or Trump gets re-elected. Bernie will win the primary. Therefore, Trump will not get re-elected
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